Finite Group Databasebeta

← Group #11774552

Character table — Group #11774552

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122224444444444444444444448888888888888888888888889999181818183636363636363636363636363672727272
order12222244222233466666666666666666666666666666612121212121212124444444444444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1
χ611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ811111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ91111-1-11111-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-111-1-11-11-1
χ101111-1-11111-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-1-1-111-1-111-11-11
χ111111-1-11111-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111ii−i−i−i−iiii−i−ii
χ121111-1-11111-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-111−i−iiiii−i−i−iii−i
χ131111-1-111-1-11111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-11111-1-111-1-1-11-11
χ141111-1-111-1-11111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-111-1-111-1-1111-11-1
χ151111-1-111-1-11111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ161111-1-111-1-11111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-2000022-2222222222222220000000000000000-2-2-2-2-2-2-2-2222222-2-2-20000000000000000
χ18222222-2-2000022-2222222222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22220000000000000000
χ192222-2-2-2-200002222222-2-2-2-2-2-2-2-2220000000000000000-2-2-2-222222222-2-2-2-220000000000000000
χ202222-2-2-2-200002222222-2-2-2-2-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-22222-20000000000000000
χ2122-2-2002-2002-2220-2-2-2-20000000022000000002222-2-2-2-222-2-200002i−2i2i−2i002i−2i0002i−2i000000000000
χ2222-2-2002-2002-2220-2-2-2-20000000022000000002222-2-2-2-222-2-20000−2i2i−2i2i00−2i2i000−2i2i000000000000
χ2322-2-2002-200-22220-2-2-2-2000000002200000000-2-2-2-2222222-2-200002i−2i2i−2i002i−2i000−2i2i000000000000
χ2422-2-2002-200-22220-2-2-2-2000000002200000000-2-2-2-2222222-2-20000−2i2i−2i2i00−2i2i0002i−2i000000000000
χ2522-2-200-222-200220-2-2-2-200000000222222-2-2-2-200000000-2-22200002i−2i2i−2i00−2i2i02i−2i00000000000000
χ2622-2-200-222-200220-2-2-2-200000000222222-2-2-2-200000000-2-2220000−2i2i−2i2i002i−2i0−2i2i00000000000000
χ2722-2-200-22-2200220-2-2-2-20000000022-2-2-2-2222200000000-2-22200002i−2i2i−2i00−2i2i0−2i2i00000000000000
χ2822-2-200-22-2200220-2-2-2-20000000022-2-2-2-2222200000000-2-2220000−2i2i−2i2i002i−2i02i−2i00000000000000
χ292-2-222-200000022022-2-22222-2-2-2-2-2-200000000000000000000000022-2-22-20000000i2−i2i2−i2i2−i2i2−i20000
χ302-2-222-200000022022-2-22222-2-2-2-2-2-200000000000000000000000022-2-22-20000000−i2i2−i2i2−i2i2−i2i20000
χ312-2-222-200000022022-2-22222-2-2-2-2-2-2000000000000000000000000-2-222-2200000002−22−2−22−220000
χ322-2-222-200000022022-2-22222-2-2-2-2-2-2000000000000000000000000-2-222-220000000−22−222−22−20000
χ332-2-22-2200000022022-2-2-2-2-2-22222-2-200000000000000000000000022-2-2-220000000i2−i2−i2i2i2−i2−i2i20000
χ342-2-22-2200000022022-2-2-2-2-2-22222-2-200000000000000000000000022-2-2-220000000−i2i2i2−i2−i2i2i2−i20000
χ352-2-22-2200000022022-2-2-2-2-2-22222-2-2000000000000000000000000-2-2222-200000002−2−22−222−20000
χ362-2-22-2200000022022-2-2-2-2-2-22222-2-2000000000000000000000000-2-2222-20000000−222−22−2−220000
χ374444444444441-241-21-211-2-211-2-21-211-2-211-2-211-2-211-2-21-21-211-2-20000000000000000000000000
χ38444444444444-214-21-21-2-211-2-211-21-2-211-2-211-2-211-2-211-21-21-2-2110000000000000000000000000
χ3944444444-4-4-4-41-241-21-211-2-211-2-21-2-1-122-1-122-1-122-1-1221-21-211-2-20000000000000000000000000
χ4044444444-4-4-4-4-214-21-21-2-211-2-211-2122-1-122-1-122-1-122-1-1-21-21-2-2110000000000000000000000000
χ41444444-4-400001-2-41-21-211-2-211-2-21-23-3003-3003-3003-300-12-12-1-1220000000000000000000000000
χ42444444-4-400001-2-41-21-211-2-211-2-21-2-3300-3300-3300-3300-12-12-1-1220000000000000000000000000
χ43444444-4-40000-21-4-21-21-2-211-2-211-21003-3003-3003-3003-32-12-122-1-10000000000000000000000000
χ44444444-4-40000-21-4-21-21-2-211-2-211-2100-3300-3300-3300-332-12-122-1-10000000000000000000000000
χ454444-4-44444-4-41-2-41-21-2-1-122-1-1221-211-2-211-2-2-1-122-1-1221-21-2-1-1220000000000000000000000000
χ464444-4-44444-4-4-21-4-21-2122-1-122-1-1-21-2-211-2-21122-1-122-1-1-21-2122-1-10000000000000000000000000
χ474444-4-444-4-4441-2-41-21-2-1-122-1-1221-2-1-122-1-12211-2-211-2-21-21-2-1-1220000000000000000000000000
χ484444-4-444-4-444-21-4-21-2122-1-122-1-1-2122-1-122-1-1-2-211-2-211-21-2122-1-10000000000000000000000000
χ494444-4-4-4-400001-241-21-2-1-122-1-1221-23-3003-300-3300-3300-12-1211-2-20000000000000000000000000
χ504444-4-4-4-400001-241-21-2-1-122-1-1221-2-3300-33003-3003-300-12-1211-2-20000000000000000000000000
χ514444-4-4-4-40000-214-21-2122-1-122-1-1-21003-3003-300-3300-332-12-1-2-2110000000000000000000000000
χ524444-4-4-4-40000-214-21-2122-1-122-1-1-2100-3300-33003-3003-32-12-1-2-2110000000000000000000000000
χ5344-4-4004-4004-41-20-12-123-3003-3001-23-300-330011-2-2-1-1221-2-123-3000000000000000000000000000
χ5444-4-4004-4004-41-20-12-12-3300-33001-2-33003-30011-2-2-1-1221-2-12-33000000000000000000000000000
χ5544-4-4004-4004-4-2102-12-1003-3003-3-21003-300-33-2-21122-1-1-212-1003-30000000000000000000000000
χ5644-4-4004-4004-4-2102-12-100-3300-33-2100-33003-3-2-21122-1-1-212-100-330000000000000000000000000
χ5744-4-4004-400-441-20-12-123-3003-3001-2-33003-300-1-12211-2-21-2-123-3000000000000000000000000000
χ5844-4-4004-400-441-20-12-12-3300-33001-23-300-3300-1-12211-2-21-2-12-33000000000000000000000000000
χ5944-4-4004-400-44-2102-12-1003-3003-3-2100-33003-322-1-1-2-211-212-1003-30000000000000000000000000
χ6044-4-4004-400-44-2102-12-100-3300-33-21003-300-3322-1-1-2-211-212-100-330000000000000000000000000
χ6144-4-400-444-4001-20-12-123-3003-3001-211-2-2-1-1223-300-3300-121-2-33000000000000000000000000000
χ6244-4-400-444-4001-20-12-12-3300-33001-211-2-2-1-122-33003-300-121-23-3000000000000000000000000000
χ6344-4-400-444-400-2102-12-1003-3003-3-21-2-21122-1-1003-300-332-1-2100-330000000000000000000000000
χ6444-4-400-444-400-2102-12-100-3300-33-21-2-21122-1-100-33003-32-1-21003-30000000000000000000000000
χ6544-4-400-44-44001-20-12-123-3003-3001-2-1-12211-2-2-33003-300-121-2-33000000000000000000000000000
χ6644-4-400-44-44001-20-12-12-3300-33001-2-1-12211-2-23-300-3300-121-23-3000000000000000000000000000
χ6744-4-400-44-4400-2102-12-1003-3003-3-2122-1-1-2-21100-33003-32-1-2100-330000000000000000000000000
χ6844-4-400-44-4400-2102-12-100-3300-33-2122-1-1-2-211003-300-332-1-21003-30000000000000000000000000
χ694-44-400000000440-4-44400000000-4-40000000000000000000000004i−4i−4i4i000000000000000000000
χ704-44-400000000440-4-44400000000-4-4000000000000000000000000−4i4i4i−4i000000000000000000000
χ718-88-8000000002-40-242-46-600-6600-240000000000000000000000000000000000000000000000000
χ728-88-8000000002-40-242-4-66006-600-240000000000000000000000000000000000000000000000000
χ738-88-800000000-4204-2-42006-600-664-20000000000000000000000000000000000000000000000000
χ748-88-800000000-4204-2-4200-66006-64-20000000000000000000000000000000000000000000000000
χ758-8-888-80000002-402-4-2422-4-4-2-244-240000000000000000000000000000000000000000000000000
χ768-8-888-8000000-420-424-2-4-42244-2-24-20000000000000000000000000000000000000000000000000
χ778-8-88-880000002-402-4-24-2-24422-4-4-240000000000000000000000000000000000000000000000000
χ788-8-88-88000000-420-424-244-2-2-4-4224-20000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).